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Finding the Fourth Proportional to 271.65, 407.07 and 109.11

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Solution

The fourth proportional to 271.65, 407.07 and 109.11 is: 163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.65 : 407.07 = 109.11 : x
  2. Step 2: Convert to fraction form
    271.65/407.07 = 109.11/x
  3. Step 3: Cross multiply
    271.65x = 407.07 × 109.11
  4. Step 4: Simplify right side
    271.65x = 44,415.41
  5. Step 5: Solve for x
    x = 44,415.41/271.65
  6. Step 6: Final answer
    x = 163.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.